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Finding the Fourth Proportional to 398,120.76, 549,406.64 and 219,272.76

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Solution

The fourth proportional to 398,120.76, 549,406.64 and 219,272.76 is: 302,596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,120.76 : 549,406.64 = 219,272.76 : x
  2. Step 2: Convert to fraction form
    398,120.76/549,406.64 = 219,272.76/x
  3. Step 3: Cross multiply
    398,120.76x = 549,406.64 × 219,272.76
  4. Step 4: Simplify right side
    398,120.76x = 120,469,910,315.13
  5. Step 5: Solve for x
    x = 120,469,910,315.13/398,120.76
  6. Step 6: Final answer
    x = 302,596.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.